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# The diameter of circle S is equal in length to a side of a certain squ

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Re: The diameter of circle S is equal in length to a side of a certain squ [#permalink]
Bunuel wrote:
The diameter of circle S is equal in length to a side of a certain square. The diameter of circle T is equal in length to a diagonal of the same square. The area of circle T is how many times the area of circle S ?

A. $$√2$$

B. $$√2 + 1$$

C. 2

D. $$\pi$$

E. $$\sqrt{2\pi}$$

Since any two circles are similar, the ratio of their areas must be equal to the square of the ratio of their diameters.

$$A_T/A_S=(d_T/d_S)^2=(\sqrt{2}/1)^2=2$$

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Re: The diameter of circle S is equal in length to a side of a certain squ [#permalink]
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Re: The diameter of circle S is equal in length to a side of a certain squ [#permalink]
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